Find the quotient and remainder when x^5-1 is divided by x+1

Question

x⁵-1 divided by x+1

Answer 1

         x⁴- x³ +x² -x + 1   R -2

       ___________________

x+1 l x⁵+0x⁴+0x³+0x²+0x-1

        x⁵+x⁴

       _______

           -x⁴

           -x⁴-x³

      _________

                x³

                x³+x²

               ________

                   -x²

                   -x²-x

                __________

                        x-1

                        x+1

                  __________

                             -2